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Finding the Fourth Proportional to 418,359.38, 627,289.52 and 165,676.10

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Solution

The fourth proportional to 418,359.38, 627,289.52 and 165,676.10 is: 248,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,359.38 : 627,289.52 = 165,676.10 : x
  2. Step 2: Convert to fraction form
    418,359.38/627,289.52 = 165,676.10/x
  3. Step 3: Cross multiply
    418,359.38x = 627,289.52 × 165,676.10
  4. Step 4: Simplify right side
    418,359.38x = 103,926,877,279.64
  5. Step 5: Solve for x
    x = 103,926,877,279.64/418,359.38
  6. Step 6: Final answer
    x = 248,415.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.